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Elza [17]
2 years ago
12

mary invested £12000 in a savings account. the account pays 1.5% compound interest per year. work out value of her investment af

ter 2 years
Mathematics
1 answer:
Irina18 [472]2 years ago
3 0
Hi there! The formula for compound interest is P(1 + r)^t, where P = Principal (initial amount), r = rate (percentage rate), and t = time (years). Let's start off by adding 1 to the percentage rate in decimal form. 1.5% is 0.015 in decimal form. 1 + 0.015 is 1.015. The amount of time is 2 years, so we raise that decimal to the 2nd power. 1.015^2 is 1.030225. Do not delete this decimal from the calculator. Now, let's multiply it by the principal, which is 12,000 British pounds. When you multiply that decimal by 12,000, you get 12,362.70. There. Mary's investment will be a value of £12,362.70.
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The top of a ladder is 4m up a vertical wall.The bottom is 2m from the wall.The coordinate axes are the wall and the horizontal
mash [69]

Answer:

Part a) y=-2x+4

Part b) The coordinates of the point are (\frac{4}{3},\frac{4}{3})

Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

(0,4) and (2,0)

Find the slope

m=(0-4)/(2-0)=-2

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-2\\b=4

substitute

y=-2x+4

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate

x=y

y=-2x+4

substitute

x=-2x+4\\3x=4\\x=\frac{4}{3}

y=x=\frac{4}{3}

therefore

The coordinates of the point are (\frac{4}{3},\frac{4}{3})

6 0
1 year ago
Which number produces
Dvinal [7]

Answer:

A is the answer.

Step-by-step explanation:

A fraction plus a fraction is equal to a fraction. An irrational number cannot be expressed as a fraction.

0.3333333 even though it looks like an irrational number it is actually: 1/3

3/5 is already a fraction so adding it with another fraction will NOT equal an irrational number (decimal)

-0.75 is equal to -3/4 (75/100 => 3/4). Same thing that applies above.

However, Pi cannot be expressed as a fraction exactly. You can round up like 3.14. However it is not the full number. So 3.141592654....+(3/4) is not going to add up perfectly into a fraction.

In short, a fraction is a rational number. Rational + Rational = Rational. Irrational + Rational = Irrational.

3 0
2 years ago
Read 2 more answers
Regular pentagonal tiles and triangular tiles are arranged in the pattern shown. The pentagonal tiles are all the same size and
professor190 [17]
First of all you have to find the missing measurements. The actual measurements for the angles in the hexagon are not given, but they give you an expression. You have to solve for x first so that you can plug it in and find the angle measurement. You have to equal the two sides that are given to you like this: 20x+48=33x+9. You solve for x and then plug it into each angle measurement. This should give you 108. Since it is a regular hexagon all of the sides are equal. If you look at the angle at the top of the hexagon you'll see two triangles and the angle. Since it lies on a straight line, it is all equal to 180. You already have the angle measurement of the hexagon and are missing the triangles. So 180-108=72. 72 is the missing part of the angle. You divide this by 2 in order to find each triangle angle measurements. the answer is 36 degrees. 
7 0
1 year ago
Alicia buys a 5 pound bag of rocks for a fish tank. She uses 1 1/8 pounds of small fish bowl. How much is left?
ipn [44]
5-1 and 1/8=
5-1-1/8=
4+1-1-1/8=
4-1+8/8-1/8=
3+7/8=
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3 0
2 years ago
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7.9-3.47=please show me how to rewrite it vertically?
Lemur [1.5K]

Answer:

4.43

Step-by-step explanation:

7.90

- 3.47

__________

4. 4 3

I couldn't regroup but of you cross out 0 and put 10, 10-7= 3

and you have to borrow one from 9 and make it 8 and 8-4=4

4 0
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